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Finding the Third Proportional to 169,998 and 372,612

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Solution

The third proportional to 169,998 and 372,612 is: 816,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,998 : 372,612 = 372,612 : x
  2. Step 2: Convert to fraction form
    169,998/372,612 = 372,612/x
  3. Step 3: Cross multiply
    169,998x = 372,612 × 372,612
  4. Step 4: Simplify right side
    169,998x = 138,839,702,544
  5. Step 5: Solve for x
    x = 138,839,702,544/169,998
  6. Step 6: Final answer
    x = 816,713.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.